A circle has radius

MATHEMATICS · Multi-part · CBSE · Mathematics · Circles · Circles

Problem

A circle has radius

13\,\text{cm}

. Two chords

AB

and

CD

of this circle have lengths

10\,\text{cm}

and

24\,\text{cm}

respectively. (i) Calculate the distance of chord

AB

from the centre. (ii) Calculate the distance of chord

CD

from the centre. (iii) State which chord is nearer to the centre and justify your answer.